10729937520 has 120 divisors (see below), whose sum is σ = 36310100112. Its totient is φ = 2839449600.

The previous prime is 10729937501. The next prime is 10729937557. The reversal of 10729937520 is 2573992701.

10729937520 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 99 + 37 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37440 + ... + 151200.

Almost surely, 2^10729937520 is an apocalyptic number.

10729937520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10729937520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18155050056).

10729937520 is an abundant number, since it is smaller than the sum of its proper divisors (25580162592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10729937520 is a wasteful number, since it uses less digits than its factorization.

10729937520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113911 (or 113902 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 10729937520 in words is "ten billion, seven hundred twenty-nine million, nine hundred thirty-seven thousand, five hundred twenty".